Finding the Third Proportional to 65,877 and 146,492.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,877 : 146,492.50 = 146,492.50 : x
2. Step 2: Convert to fraction form
   65,877/146,492.50 = 146,492.50/x
3. Step 3: Cross multiply
   65,877x = 146,492.50 × 146,492.50
4. Step 4: Simplify right side
   65,877x = 21,460,052,556.25
5. Step 5: Solve for x
   x = 21,460,052,556.25/65,877
6. Step 6: Final answer
   x = 325,759.41